INFINITELY MANY POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEM

Jian-Ping Sun, Fu-Chun Xi
2004 International Journal of Differential Equations and Applications   unpublished
In this paper, existence criteria for infinitely many positive solutions of the nonlinear three-point boundary value problem    u ′′ (t) + a(t)u ′ (t) + b(t)u(t) + h(t)f (u) = 0, t ∈ (0, 1) , u(0) = 0, u(1) = αu(η) are established by using the Krasnosel'skii's Fixed Point Theorem for operators on cone.
fatcat:iseqwtr3cjb2fhiczm4gchfjua